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Math Help - lenght

  1. #1
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    lenght

    perimeter of suare / d ( diagonal ) = a / \sqrt{2}

    perimeter of suare = a / \sqrt{2} * d

    a ( side of square) = perimeter \sqrt{2} / d

    a = a / \sqrt{2} * d * \sqrt{2} * 1 / a \sqrt{2} =
    = ( 1 / \sqrt{2} * d * \sqrt{2} ) / \sqrt{2} = d / \sqrt{2}

    knowing the proportion of perimeter of square to his side, count the proportion of perimeter of oval to perimeter of suare based on the same diagonal :

    obw kwad / obw koła

    perimeter of suare = a / \sqrt{2} * d ( diagonal )
    perimeter of oval = 2 pi * d
    a ( side) = perimeter \sqrt{2} / d

    ( a / \sqrt{2} * d ) / ( 2 pi * d ) = d / 2 pi

    ( i dont know if its good )
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  2. #2
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    Re: lenght

    Quote Originally Posted by razera View Post
    perimeter of suare / d ( diagonal ) = a / \sqrt{2}

    perimeter of suare = a / \sqrt{2} * d

    a ( side of square) = perimeter \sqrt{2} / d
    You may just be writing it wrong but if a is a length of a side, then the perimeter of a square is 4a. The length of a diagonal is a\sqrt{2} so that the ratio of a side to the diagonal is \frac{1}{\sqrt{2}}= \frac{\sqrt{2}}{2}. The ratio of the perimeter of the square to the diagonal is 2\sqrt{2}= d\sqrt{2}. The perimeter of the square is NOT "a/\sqrt{2}*d" It is either 4a or d\sqrt{2}.

    Now, by "oval" do you mean "circle"? An "oval" is not usually the same as a "circle"- more like a generalized ellipse.

    a = a / \sqrt{2} * d * \sqrt{2} * 1 / a \sqrt{2} =
    = ( 1 / \sqrt{2} * d * \sqrt{2} ) / \sqrt{2} = d / \sqrt{2}

    knowing the proportion of perimeter of square to his side, count the proportion of perimeter of oval to perimeter of suare based on the same diagonal :

    obw kwad / obw koła

    perimeter of suare = a / \sqrt{2} * d ( diagonal )
    perimeter of oval = 2 pi * d
    a ( side) = perimeter \sqrt{2} / d

    ( a / \sqrt{2} * d ) / ( 2 pi * d ) = d / 2 pi

    ( i dont know if its good )
    Thanks from topsquark
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